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Lesson 1.1- Variables and Expressions, pg. 6 Objective: To write mathematical expressions for verbal expressions and vice versa.

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Vocabulary Variables: symbols used to represent unspecified numbers or values. Algebraic expressions: consists of one or more numbers and variables along with one or more arithmetic operations.

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Factors: quantities being multiplied. Product: the result of multiplication. 5 × 8 = 40 Power: an expression like x n, and is read x to the nth power. xnxn Factors product base exponent

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Base: number being used as a factor. Exponent: indicates the number of times the base is used as a factor. 4 3 = 4×4×4 =64 Evaluate: find the value.

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Key Words for Basic Operations Add Subtract Multiply Divide Sum Minus Times Quotient Plus Less than Product Divided by Increase Decrease Twice More than difference Squared- raise a number to the 2 nd power Cubed- raise a number to the 3 rd power

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Ex. 1: Write an algebraic expression for each verbal expression. 1.Five less than a number c c plus the product of 2 and the number d 9 + 2d 3.Three eighths of the original volume v v

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Ex. 2: Write each expression algebraically. a.The product of ¾ and a to the seventh power. ¾a 7 b.The sum of 11 and x to the third power x³

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Ex. 3: Evaluate each expression ² 3.2 6

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Ex. 4: Write a verbal expression for each algebraic expression

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A bakery sells a dozen bagels for $8.50 and a dozen donuts for $3.99. Write and expression for the cost of buying b dozens of bagels and d dozen of donuts. NBA #1, pg. 8, problems even

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